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If, find the value of

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None of these

answer is A.

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Detailed Solution

Concept- First, subtract 2 from both sides of the given x value. Then cube on both sides. To obtain the result, use the factorisation of polynomials formula

and then simplify accordingly.
Here,

Subtract 2 from both sides,

Cube both sides,
Question Image

Simplify the right-hand side,
Question Image

We know

.
Expand the LHS of the expression,
We have

Substitute the value of

in the respective formula,

Substitute this expansion in the above expression,

Rearrange the terms,

We need to find the value of

.
Add and subtract

Substitute the value we got in the above calculation

Substitute the value of

Multiply the respective terms,

Hence, the correct answer is option 1) 8.

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